4101915168 has 480 divisors, whose sum is σ = 14087304000. Its totient is φ = 1160054784.

The previous prime is 4101915137. The next prime is 4101915217. The reversal of 4101915168 is 8615191014.

It is a happy number.

4101915168 is a `hidden beast` number, since 410 + 191 + 51 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27529558 + ... + 27529706.

It is an arithmetic number, because the mean of its divisors is an integer number (29348550).

Almost surely, 2^4101915168 is an apocalyptic number.

4101915168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101915168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043652000).

4101915168 is an abundant number, since it is smaller than the sum of its proper divisors (9985388832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4101915168 is a wasteful number, since it uses less digits than its factorization.

4101915168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 4101915168 is about 64046.1955778796. The cubic root of 4101915168 is about 1600.7698337048.

The spelling of 4101915168 in words is "four billion, one hundred one million, nine hundred fifteen thousand, one hundred sixty-eight".